Base | Representation |
---|---|
bin | 100000001000… |
… | …100000000000 |
3 | 120211221202200 |
4 | 200020200000 |
5 | 4124022144 |
6 | 500313200 |
7 | 131412042 |
oct | 40104000 |
9 | 16757680 |
10 | 8423424 |
11 | 4833709 |
12 | 29a2800 |
13 | 198c099 |
14 | 1193a92 |
15 | b15c69 |
hex | 808800 |
8423424 has 72 divisors (see below), whose sum is σ = 24381630. Its totient is φ = 2801664.
The previous prime is 8423423. The next prime is 8423447. The reversal of 8423424 is 4243248.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 5760000 + 2663424 = 2400^2 + 1632^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (8423423) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18204 + ... + 18660.
Almost surely, 28423424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190815).
8423424 is an abundant number, since it is smaller than the sum of its proper divisors (15958206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8423424 is a wasteful number, since it uses less digits than its factorization.
8423424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 485 (or 462 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 8423424 is about 2902.3135599035. The cubic root of 8423424 is about 203.4680489210.
The spelling of 8423424 in words is "eight million, four hundred twenty-three thousand, four hundred twenty-four".
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